5326401024 has 320 divisors, whose sum is σ = 18973785600. Its totient is φ = 1441234944.

The previous prime is 5326401023. The next prime is 5326401037. The reversal of 5326401024 is 4201046235.

5326401024 is a `hidden beast` number, since 5 + 3 + 2 + 640 + 10 + 2 + 4 = 666.

It is a super-3 number, since 3×5326401024³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5326401023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837144 + ... + 1840040.

It is an arithmetic number, because the mean of its divisors is an integer number (59293080).

Almost surely, 2^5326401024 is an apocalyptic number.

5326401024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5326401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486892800).

5326401024 is an abundant number, since it is smaller than the sum of its proper divisors (13647384576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5326401024 is a wasteful number, since it uses less digits than its factorization.

5326401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5326401024 is about 72982.1966235602. The cubic root of 5326401024 is about 1746.4036100033.

Adding to 5326401024 its reverse (4201046235), we get a palindrome (9527447259).

The spelling of 5326401024 in words is "five billion, three hundred twenty-six million, four hundred one thousand, twenty-four".